Results 31 to 40 of about 1,287 (264)
A characterization of Nested Groups in terms of conjugacy classes
Comptes Rendus. Mathématique, 2020 A group is nested if the centers of the irreducible characters form a chain. In this paper, we will show that there is a set of subgroups associated with the conjugacy classes of group so that a group is nested if and only if these subgroups form a chain.
Burkett, Shawn T., Lewis, Mark L.
doaj +1 more source
The Sum of a Finite Group of Weights of a Hopf Algebra
Axioms, 2012 Motivated by the orthogonality relations for irreducible characters of a finite group, we evaluate the sum of a finite group of linear characters of a Hopf algebra, at all grouplike and skew-primitive elements.
Apoorva Khare
doaj +1 more source
A new characterization of L2(p2)
Open Mathematics, 2020 For a positive integer n and a prime p, let np{n}_{p} denote the p-part of n. Let G be a group, cd(G)\text{cd}(G) the set of all irreducible character degrees of GG, ρ(G)\rho (G) the set of all prime divisors of integers in cd(G)\text{cd}(G), V(G)=pep(G)|
Wang Zhongbi +4 more
doaj +1 more source
Dual combinatorics of zonal polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 In this paper we establish a new combinatorial formula for zonal polynomials in terms of power-sums. The proof relies on the sign-reversing involution principle.
Valentin Féray, Piotr Sniady
doaj +1 more source
Correspondences and Irreducible Products of Characters
Journal of Algebra, 1993 Suppose the finite group \(S\) acts on the finite group \(G\) with \((| G|, | S|) = 1\). Let \(\text{Irr}_ S (G)\) be the set of the irreducible characters of \(G\) fixed by \(S\); let \(\chi \in \text{Irr}_ S (G)\) and denote by \(\chi^* \in \text{Irr} (C_ G(S))\) the image of \(\chi\) under the Glauberman-Isaacs correspondence.
openaire +2 more sources
Irreducible Characters and Semisimple Coadjoint Orbits
Journal of Lie Theory, 2020 When $G_{\mathbb{R}}$ is a real, linear algebraic group, the orbit method predicts that nearly all of the unitary dual of $G_{\mathbb{R}}$ consists of representations naturally associated to orbital parameters $(\mathcal{O},Γ)$. If $G_{\mathbb{R}}$ is a real, reductive group and $\mathcal{O}$ is a semisimple coadjoint orbit, the corresponding unitary ...
Harris, Benjamin, Oshima, Yoshiki
openaire +3 more sources
ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS
Acta Polytechnica, 2016 Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and ...
Lenka Háková, Agnieszka Tereszkiewicz
doaj +1 more source
Above Room Temperature Ferroelectricity in Epitaxially Strained KTaO3
Advanced Materials, EarlyView.Through precise epitaxial engineering, the cubic and paraelectric KTaO3${\rm KTaO}_3$ is transformed into a robust ferroelectric. By leveraging lattice‐mismatched substrates to apply controlled epitaxial strain, a stable ferroelectric ground‐state is achieved with a transition temperature as high as 475 K, establishing KTaO3${\rm KTaO}_3$ as a highly ...
Tobias Schwaigert +11 more
wiley +1 more source
Note on Heisenberg Characters of Heisenberg Groups
Ratio Mathematica, 2018 An irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three other types of infinite ...
Alieh Zolfi, Ali Reza Ashrafi
doaj +1 more source
Finite groups with non-trivial intersections of kernels of all but one irreducible characters [PDF]
International Journal of Group Theory, 2018 In this paper we consider finite groups $G$ satisfying the following condition: $G$ has two columns in its character table which differ by exactly one entry.
Mariagrazia Bianchi, Marcel Herzog
doaj +1 more source